Scattering poles near the real axis for strictly convex obstacles

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Scattering poles near the real axis for strictly convex obstacles

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Title Scattering poles near the real axis for strictly convex obstacles
Author(s) Iantchenko, Alexei
Date 2004
English abstract
To study the location of poles for the acoustic scattering matrix for two strictly convex obstacles with smooth boundaries, one uses an approximation of the quantized billiard operator M along the trapped ray between the two obstacles. Assuming that the boundaries are analytic and the eigenvalues of Poincar´e map are non-resonant we use the Birkhoff normal form for M to get the complete asymptotic expansions for the poles in any logarithmic neighborhood of real axis.
Language eng (iso)
Subject(s) scattering resonances
Sciences
Research Subject Categories::MATHEMATICS
Note Atelier sur la théorie semi-classique des fonctions propres et équations aux dérivées partielles, du 1er au 5 juin 2004 au Centre de recherches mathématiques, Université de Montréal, Canada
Handle http://hdl.handle.net/2043/11950 (link to this page)
Link http://www.crm.umontreal.ca/Semi/ (external link to related web page)

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